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Analysis of some Quadrilateral Nonconforming Elements for Incompressible Elasticity

Autor: Zhang, Zhimin

Publikováno v: SIAM Journal on Numerical Analysis, 1997 Apr 01. 34(2), 640-663.

Externí odkaz: https://www.jstor.org/stable/2951998

Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity

Autor: Alexandre Ern, Jean-Luc Guermond

Publikováno v: Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2021, 22 (5), pp.1273--1308. ⟨10.1007/s10208-021-09527-7⟩

International audience; In this paper, we investigate the approximation of a diffusion modelproblem with contrasted diffusivity for various nonconformingapproximation methods. The essential difficulty is that the Sobolevsmoothness index of the exact

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae57bed0de5df3eed5abca5a60512d7b
https://doi.org/10.1007/s10208-021-09527-7

On Nonconforming Combinations of Various Finite Element Methods for Solving Elliptic Boundary Value Problems

Autor: Li, Zi-Cai

Publikováno v: SIAM Journal on Numerical Analysis, 1991 Apr 01. 28(2), 446-475.

Externí odkaz: https://www.jstor.org/stable/2157823

On the Convergence Rate of the Cell Discretization Algorithm for Solving Elliptic Problems

Autor: Cayco, Maria, Foster, Leslie, Swann, Howard

Publikováno v: Mathematics of Computation, 1995 Oct 01. 64(212), 1397-1419.

Externí odkaz: https://www.jstor.org/stable/2153361